1 v 1 2 6 A pr 1 99 9 UFRJ - IF - NCG - 1999 / 2 Connes - Lott model building on the two - sphere
نویسندگان
چکیده
In this work we examine generalized Connes-Lott models, with C ⊕ C as finite algebra, over the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor bundle, allowing for nontrivial topological structure (magnetic monopoles). The finitely generated projective module over the full algebra is also taken as topologically non-trivial, which is possible over S 2. We also construct a real spectral triple enlarging this Hilbert space to include " particle " and " anti-particle " fields.
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